GRE Quantitative Reasoning

The GRE Quantitative Reasoning section assesses your ability to understand, interpret, and analyze quantitative information, as well as to solve problems using mathematical concepts.

Arithmetic and Number PropertiesAlgebraic Expressions and EquationsData Interpretation
Geometry and MeasurementStatistics and ProbabilityWord Problems and Quantitative Comparisons
Personal Finance DecisionsData Analysis in CareersTravel and Logistics
Time Management TechniquesSmart Guessing and EliminationCareful Reading and Rechecking
Arithmetic and Numbe...Algebraic Expression...Data InterpretationGeometry and Measure...Statistics and Proba...Word Problems and Qu...Personal Finance Dec...Data Analysis in Car...Travel and LogisticsTime Management Tech...Smart Guessing and E...Careful Reading and ...
Basic Concepts

Algebraic Expressions and Equations

What is Algebra?

Algebra uses symbols and letters to represent numbers in equations and formulas. It's about finding unknown values and understanding relationships between variables.

Working With Expressions

  • Simplify: Combine like terms and use the distributive property.
  • Substitute: Replace variables with given values to solve.

Solving Equations

Linear equations are the most common. To solve \( ax + b = c \), isolate \( x \):

\[ x = \frac{c-b}{a} \]

You may also see quadratic equations or systems of equations, but GRE focuses mostly on linear relationships.

Word Problems

Many GRE problems are disguised algebra questions. Translate words into math before solving.

Tips

  • Always check your solution by plugging it back into the equation.
  • Pay attention to negative signs and parentheses.

Examples

  • If \( 2x + 5 = 13 \), what is \( x \)?

  • Simplify \( 3(a + 2) - 4a \).

In a Nutshell

Algebra involves working with variables and equations to solve for unknowns.

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Data Interpretation